Cross-Axis Coupling Effects in Single-Axis Nuclear Magnetic Resonance Gyroscopes

Nuclear magnetic resonance gyroscopes (NMRGs) may be operated in an environment with violent vibration that usually contains both linear components and angular components. To analyze the influence of angular vibration on an NMRG, cross-axis coupling effects are studied. The cross-axis rotation rates...

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Main Authors: Zhiguo Wang, Yi Zhang, Xiang Zhan, Qiyuan Jiang, Hui Luo
Format: Article
Language:English
Published: MDPI AG 2020-01-01
Series:Sensors
Subjects:
Online Access:https://www.mdpi.com/1424-8220/20/3/734
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author Zhiguo Wang
Yi Zhang
Xiang Zhan
Qiyuan Jiang
Hui Luo
author_facet Zhiguo Wang
Yi Zhang
Xiang Zhan
Qiyuan Jiang
Hui Luo
author_sort Zhiguo Wang
collection DOAJ
description Nuclear magnetic resonance gyroscopes (NMRGs) may be operated in an environment with violent vibration that usually contains both linear components and angular components. To analyze the influence of angular vibration on an NMRG, cross-axis coupling effects are studied. The cross-axis rotation rates induce an equivalent magnetic field. Its influence can be described by the Bloch equations. The approximate frequency shift and amplitude of the spin oscillator with an equivalent magnetic field in the cross-axis were obtained, which was validated by numerical simulation. The findings show that the angular vibration component leads to a remarkable error for the NMRG. When the angular vibration frequency is near the Larmor frequency, the oscillation frequency of the spins may be locked to the angular vibration frequency, destroying the NMRG’s ability to measure rotation rates. The cross-axis coupling problem should be considered in the design of an NMRG and corresponding inertial navigation systems.
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spelling doaj.art-f99af19bce8b470e8c9b95184007466f2022-12-22T02:55:26ZengMDPI AGSensors1424-82202020-01-0120373410.3390/s20030734s20030734Cross-Axis Coupling Effects in Single-Axis Nuclear Magnetic Resonance GyroscopesZhiguo Wang0Yi Zhang1Xiang Zhan2Qiyuan Jiang3Hui Luo4College of Advanced Interdisciplinary Studies, and Interdisciplinary Center of Quantum Information, National University of Defense Technology, Changsha 410073, ChinaCollege of Advanced Interdisciplinary Studies, and Interdisciplinary Center of Quantum Information, National University of Defense Technology, Changsha 410073, ChinaCollege of Advanced Interdisciplinary Studies, and Interdisciplinary Center of Quantum Information, National University of Defense Technology, Changsha 410073, ChinaCollege of Advanced Interdisciplinary Studies, and Interdisciplinary Center of Quantum Information, National University of Defense Technology, Changsha 410073, ChinaCollege of Advanced Interdisciplinary Studies, and Interdisciplinary Center of Quantum Information, National University of Defense Technology, Changsha 410073, ChinaNuclear magnetic resonance gyroscopes (NMRGs) may be operated in an environment with violent vibration that usually contains both linear components and angular components. To analyze the influence of angular vibration on an NMRG, cross-axis coupling effects are studied. The cross-axis rotation rates induce an equivalent magnetic field. Its influence can be described by the Bloch equations. The approximate frequency shift and amplitude of the spin oscillator with an equivalent magnetic field in the cross-axis were obtained, which was validated by numerical simulation. The findings show that the angular vibration component leads to a remarkable error for the NMRG. When the angular vibration frequency is near the Larmor frequency, the oscillation frequency of the spins may be locked to the angular vibration frequency, destroying the NMRG’s ability to measure rotation rates. The cross-axis coupling problem should be considered in the design of an NMRG and corresponding inertial navigation systems.https://www.mdpi.com/1424-8220/20/3/734nuclear magnetic resonance gyroscopecross-axis couplingmagnetic fieldrotation ratefrequency shift
spellingShingle Zhiguo Wang
Yi Zhang
Xiang Zhan
Qiyuan Jiang
Hui Luo
Cross-Axis Coupling Effects in Single-Axis Nuclear Magnetic Resonance Gyroscopes
Sensors
nuclear magnetic resonance gyroscope
cross-axis coupling
magnetic field
rotation rate
frequency shift
title Cross-Axis Coupling Effects in Single-Axis Nuclear Magnetic Resonance Gyroscopes
title_full Cross-Axis Coupling Effects in Single-Axis Nuclear Magnetic Resonance Gyroscopes
title_fullStr Cross-Axis Coupling Effects in Single-Axis Nuclear Magnetic Resonance Gyroscopes
title_full_unstemmed Cross-Axis Coupling Effects in Single-Axis Nuclear Magnetic Resonance Gyroscopes
title_short Cross-Axis Coupling Effects in Single-Axis Nuclear Magnetic Resonance Gyroscopes
title_sort cross axis coupling effects in single axis nuclear magnetic resonance gyroscopes
topic nuclear magnetic resonance gyroscope
cross-axis coupling
magnetic field
rotation rate
frequency shift
url https://www.mdpi.com/1424-8220/20/3/734
work_keys_str_mv AT zhiguowang crossaxiscouplingeffectsinsingleaxisnuclearmagneticresonancegyroscopes
AT yizhang crossaxiscouplingeffectsinsingleaxisnuclearmagneticresonancegyroscopes
AT xiangzhan crossaxiscouplingeffectsinsingleaxisnuclearmagneticresonancegyroscopes
AT qiyuanjiang crossaxiscouplingeffectsinsingleaxisnuclearmagneticresonancegyroscopes
AT huiluo crossaxiscouplingeffectsinsingleaxisnuclearmagneticresonancegyroscopes